Partial Differential Equations and Image Processing

Antonin Chambolle

Abstract: We review the PDE methods for image processing developed at the Ceremade, the Universitat de Illes Balears, and the Universidad de Las Palmas de Gran Canaria. We first recall the axiomatic approach of the theory of multiscale analysis of images and try at the same times to see how it can be extended to the problem of color image processing. After stating the theorems that follow from this theory, we discuss some examples of PDEs and show results.< >